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Quadratic Equations and Their Properties

Quadratic Equations and Their Properties

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial by Kumar explains how to isolate variables in quadratic equations. It begins with an introduction and appreciation for subscribers, followed by a detailed explanation of isolating variables in equations. The tutorial includes three examples: a simple quadratic equation, a real-life quadratic equation, and a general method for solving quadratic equations. The key technique discussed is completing the square, which is essential for isolating variables in complex equations.

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43 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic introduced in the video?

Solving linear equations

Understanding linear inequalities

Graphing quadratic functions

Isolating variables in quadratic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first example equation discussed in the video?

y = 2T^2 + 3T + 1

y = 4T^2

D = -5T^2 + 20T + 1

D = VT + 1/2aT^2 + B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation y = 4T^2, what is the first step to isolate T?

Add 4 to both sides

Divide both sides by 4

Subtract 4 from both sides

Multiply both sides by 4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mistake do students often make when taking the square root in y = 4T^2?

Forgetting to divide by 4

Multiplying instead of dividing

Not including the plus-minus sign

Adding instead of subtracting

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second example equation discussed in the video?

y = 4T^2

D = -5T^2 + 20T + 1

D = VT + 1/2aT^2 + B

y = 2T^2 + 3T + 1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to isolate T in the equation D = -5T^2 + 20T + 1?

Graphing

Using the quadratic formula

Completing the square

Factoring

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In completing the square, what is done with the coefficient of T^2?

It is factored out

It is divided by 2

It is multiplied by 2

It is added to both sides

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